Question types

Understanding Elementary Shape question types

192 questions across 8 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

192
Questions
8
Question groups
5
Question types
Sample Questions

Understanding Elementary Shape questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Which of the following statement is true?
  • A
    The opposite sides of a trapezium are par-allel.
  • B
    All the sides of a parallelogram are of equal in length.
  • The diagonals of a square are perpendicular to each other.
  • D
    All the angles of a rectangle are not equal

Answer: C.

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Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): A line segment is a fixed portion of a line
 Reason (R): We use this idea to compare line segments.
  • Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true

Answer: A.

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Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): If the square of the longest side is less than the sum of the squares of two smaller sides.
Reason (R): If any one angle is greater than $90^\circ $, then the triangle is called an obtuse angled triangle.
  • A
    Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • $A$ is false but $R$ is true

Answer: D.

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Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): A triangle is made of three, a quadrilateral of four segments.
Reason (R): The measure of each line segment is a unique number called its length.
  • A
    Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true

Answer: B.

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Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): A line segment is a fixed portion of a line
 Reason (R): We use this idea to compare line segments
  • Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true

Answer: A.

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Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): A trapezium is a convex quadrilateral with exactly one pair of opposite sides parallel to each other
Reason (R): A two-dimensional quadrilateral that has a pair of non-adjacent parallel sides and a pair of non-parallel sides is referred to as a trapezium shape
  • Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true

Answer: A.

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If in $\triangle M N P, M N=5.5 cm , N P=5.5 cm$ and $M P=5.5 cm$, then $\triangle M N P$ is………. (a scalene triangle, an isosceles triangle, an equilateral triangle)
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If in $\triangle F O X, F O=4 cm , O X=5 cm$ and $F X=6 cm$, then $\triangle F O X$ is………. (an equilateral triangle, a scalene triangle, an isosceles triangle)
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If in $\triangle D E F, D E=5 cm , E F=6 cm$ and $D F=5 cm$, then $\triangle D E F$ is………. (an isosceles triangle. an equilateral triangle, a scalene triangle)
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If in $\triangle XYZ , \angle X =40^{\circ}, \angle Y =50^{\circ}$ and $\angle Z =90^{\circ}$, then $\triangle XYZ$ is………. (an acute angled triangle, a right angled triangle, an obtuse angled triangle)
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If in $\triangle PQR , \angle P =20^{\circ}, \angle Q =50^{\circ}$ and $\angle R =110^{\circ}$, then $\triangle PQR$ is……….(an acute angled triangle. a right angled triangle, an obtuse angled triangle)
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Q 313 Marks Question3 Marks
A diagonal is a line segment that joins any two vertices of the polygon and is not a side of the polygon. Draw a rough sketch of a pentagon and draw its diagonals.
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Q 323 Marks Question3 Marks
Draw a rough sketch of a regular octagon. (Use squared paper if you wish). Draw a rectangle by joining exactly four of the vertices of the octagon.
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Q 333 Marks Question3 Marks
Draw a rough sketch of a regular hexagon. Connecting any three of its vertices, draw a triangle. Identify the type of the triangle you have drawn.
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Match the following:
Measures of Triangle Type of Triangle
$(a)$ $3$ sides of equal length $(i)$ Scalene
$(b)$ $2$ sides of equal length $(ii)$ Isosceles right angled
$(c)$ All sides are of different length $(iii)$ Obtuse angled
$(d)$ $3$ acute angles $(iv)$ Right angled
$(e)$ $1$ right angle $(v)$ Equilateral
$(f)$ $1$ obtuse angle $(vi)$ Acute angled
$(g)$$1$ right angle with two sides of equal length $(vii)$ Isosceles
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Measure and classify each angle:
Angle Measure Type
$\angle AOB$    
$\angle AOC$    
$\angle BOC$    
$\angle DOC$    
$\angle DOA$    
$\angle DOB$    
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Match the following:
$(a)$ Straight angle $(i)$ Less than one-fourth a revolution
$(b)$ Right angle $(ii)$ More than half a revolution
$(c)$ Acute angle $(iii)$ Half of a revolution
$(d)$ Obtuse angle $(iv)$ One-fourth a revolution
$(v)$Reflex angle $(v)$Between $\frac{1}{4}$ and $\frac{1}{2}$ of a revolution
  $(vi)$One complete revolution
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